Abstract
This paper is concerned with the global well-posedness and exponential stability of solutions to a one-dimensional model for the viscous radiative and reactive gas with higher-order kinetics. We prove that under rather general assumptions on the heat conductivity κ, for any large smooth initial data, the problem admits a unique global classical solution. Moreover, the solution will exponentially decay to the unique steady state as time goes to infinity.
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Jiang, J., Zheng, S. Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas. Z. Angew. Math. Phys. 65, 645–686 (2014). https://doi.org/10.1007/s00033-013-0350-0
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DOI: https://doi.org/10.1007/s00033-013-0350-0